We show that the novel heat mitigation technique called "Coherent Anti-Stokes Raman Scattering (CARS)-based heat
mitigation" is able to substantially reduce the quantum-defect heating in hydrogen-based Raman lasers. This CARS-based
heat mitigation technique causes the amount of phonons created in the hydrogen Raman medium to decrease by
establishing an increase of the ratio of the number of anti-Stokes photons to the number of Stokes photons coupled out
of the laser. To illustrate the effectiveness of this heat mitigation approach for a concrete hydrogen-based Raman laser
setup, we numerically demonstrate for a Raman laser based on a hydrogen-filled hollow core photonic crystal fiber that
the heat dissipation can be reduced with at least 30%.